SOLUTION: On a bike hike, George Rode his bike at a rate of 6 miles per hour. 1 hour later paul began the bike hike. He rode At a rate of 7 miles an hour. In how many hours did Paul catch up

Question 1024242: On a bike hike, George Rode his bike at a rate of 6 miles per hour. 1 hour later paul began the bike hike. He rode At a rate of 7 miles an hour. In how many hours did Paul catch up George?
Show the work please
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What was George's head start in miles?

mi
----------------
Start a stop watch when Paul leaves.
Let = time in hrs on stop watch when
Paul catches George
Let = distance Paul travels until he
catches George
----------------
George's equation:
(1)
Paul's equation:
(2)
-----------------
Substitute (2) into (1)
(1)
(1)
Paul catches George in 6 hrs
-------------------------
check answer:
(2)
(2)
(2) mi
and
(1)
(1)
(1)
(1) mi
OK
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